Two dice can be tossed in 36 ways. In how many of these is the sum equal to:

a.) 4

b.) 7

c.) 11

How many ways can 4 be made up:

1 3
2 2
3 1
That makes 3 ways out of 36.
Probability = 3/36 = 1/12
Repeat same for 7 and 11.

To find the number of ways the sum of the two dice is equal to a given number, we can list all the possible outcomes and count them.

a) Sum equal to 4:

The possible outcomes for rolling two dice and getting a sum of 4 are:
(1,3), (3,1), (2,2)

There are 3 ways the sum can equal 4.

b) Sum equal to 7:

The possible outcomes for rolling two dice and getting a sum of 7 are:
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)

There are 6 ways the sum can equal 7.

c) Sum equal to 11:

The possible outcomes for rolling two dice and getting a sum of 11 are:
(5,6), (6,5)

There are 2 ways the sum can equal 11.

So, to summarize:

a) The sum of 4 can be obtained in 3 ways.
b) The sum of 7 can be obtained in 6 ways.
c) The sum of 11 can be obtained in 2 ways.

To find the number of ways the sum of the two dice is equal to a specific number, we can list all the possible outcomes when two dice are tossed and count the favorable outcomes for each sum.

a.) To find the number of ways the sum is equal to 4, we need to list all possible outcomes. The numbers on the dice range from 1 to 6, so the possible outcomes are:

(1, 3), (2, 2), (3, 1) - There are 3 ways to get a sum of 4.

b.) To find the number of ways the sum is equal to 7, we need to list all possible outcomes. The numbers on the dice range from 1 to 6, so the possible outcomes are:

(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) - There are 6 ways to get a sum of 7.

c.) To find the number of ways the sum is equal to 11, we need to list all possible outcomes. The numbers on the dice range from 1 to 6, so the possible outcomes are:

(5, 6), (6, 5) - There are 2 ways to get a sum of 11.

Therefore, the answers are:

a.) There are 3 ways to get a sum of 4.
b.) There are 6 ways to get a sum of 7.
c.) There are 2 ways to get a sum of 11.